Find the Tangent Given the Point (0,-7)

To find the ${\displaystyle \tan \left(\theta \right)}$ between the x-axis and the line between the points ${\displaystyle (0,0)}$ and ${\displaystyle (0,-7)}$, draw the triangle between the three points ${\displaystyle (0,0)}$, ${\displaystyle (0,0)}$, and ${\displaystyle (0,-7)}$.

${\displaystyle \tan \left(\theta \right)=\frac{\text{Opposite}}{\text{Adjacent}}}$ therefore ${\displaystyle \tan \left(\theta \right)=\frac{-7}{0}}$.

The expression contains a division by ${\displaystyle 0}$. The expression is undefined.